Elementary Functions Algorithms and Implementation

This expanded second edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. New algorithms invented since 1997—such as Matula’s bipartite method, another table-based method due to Ercegovac, Lang, Tisserand, and Muller—as well...

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Bibliographic Details
Main Author: Muller, Jean-Michel
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2006, 2006
Edition:2nd ed. 2006
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Some Basic Things About Computer Arithmetic
  • Some Basic Things About Computer Arithmetic
  • Algorithms Based on Polynomial Approximation and/or Table Lookup, Multiple-Precision Evaluation of Functions
  • Polynomial or Rational Approximations
  • Table-Based Methods
  • Multiple-Precision Evaluation of Functions
  • Shift-and-Add Algorithms
  • to Shift-and-Add Algorithms
  • The CORDIC Algorithm
  • Some Other Shift-and-Add Algorithms
  • Range Reduction, Final Rounding and Exceptions
  • Range Reduction
  • Final Rounding
  • Miscellaneous
  • Examples of Implementation